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Finding the Fourth Proportional to 996.42, 1,493.81 and 476.16

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Solution

The fourth proportional to 996.42, 1,493.81 and 476.16 is: 713.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.42 : 1,493.81 = 476.16 : x
  2. Step 2: Convert to fraction form
    996.42/1,493.81 = 476.16/x
  3. Step 3: Cross multiply
    996.42x = 1,493.81 × 476.16
  4. Step 4: Simplify right side
    996.42x = 711,290.19
  5. Step 5: Solve for x
    x = 711,290.19/996.42
  6. Step 6: Final answer
    x = 713.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.